Finite Math Examples

$1$ , $2$ , $3$ , $3$ , $3$ , $4$ , $4$ , $4$ , $5$ , $5$

Step 1

Use the formula to find the geometric mean.

$\sqrt[10]{1 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 4 \cdot 4 \cdot 4 \cdot 5 \cdot 5}$

Step 2

Multiply $2$ by $1$ .

$\sqrt[10]{2 \cdot 3 \cdot 3 \cdot 3 \cdot 4 \cdot 4 \cdot 4 \cdot 5 \cdot 5}$

Step 3

Multiply $2$ by $3$ .

$\sqrt[10]{6 \cdot 3 \cdot 3 \cdot 4 \cdot 4 \cdot 4 \cdot 5 \cdot 5}$

Step 4

Multiply $6$ by $3$ .

$\sqrt[10]{18 \cdot 3 \cdot 4 \cdot 4 \cdot 4 \cdot 5 \cdot 5}$

Step 5

Multiply $18$ by $3$ .

$\sqrt[10]{54 \cdot 4 \cdot 4 \cdot 4 \cdot 5 \cdot 5}$

Step 6

Multiply $54$ by $4$ .

$\sqrt[10]{216 \cdot 4 \cdot 4 \cdot 5 \cdot 5}$

Step 7

Multiply $216$ by $4$ .

$\sqrt[10]{864 \cdot 4 \cdot 5 \cdot 5}$

Step 8

Multiply $864$ by $4$ .

$\sqrt[10]{3456 \cdot 5 \cdot 5}$

Step 9

Multiply $3456$ by $5$ .

$\sqrt[10]{17280 \cdot 5}$

Step 10

Multiply $17280$ by $5$ .

$\sqrt[10]{86400}$

Step 11

Approximate the result.

$3.11638692$

Step 12

The geometric mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$3.1$